Independence of Ramsey theorem variants using ε0, Draft
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چکیده
We discuss the Vnite adjacent Ramsey theorem, one of the most recent independence results in Peano Arithmetic, and show some fascinating connections with two of the earliest examples of natural unprovability: the Paris–Kirby Hydra battles and the Paris– Harrington theorem. The proofs in this paper, together with the proofs for Goodstein sequences from [4], are particularly well suited for presentation in an introductory course on independence or proof theory.
منابع مشابه
Independence of Ramsey theorem variants using ε 0 ∗
We discuss the nite adjacent Ramsey theorem, one of the most recent independence results in Peano Arithmetic, and show some fascinating connections with two of the earliest examples of natural unprovability: the Paris–Kirby Hydra battles and the Paris–Harrington theorem. The proofs in this paper, together with the proofs for Goodstein sequences from [4], are particularly well suited for present...
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تاریخ انتشار 2013